📦 Resource guide

Marine Hydrodynamics Quick Reference Guide

The Marine Hydrodynamics Quick Reference Guide is a concise, practitioner-oriented technical resource that distills core principles, governing equations, empirical correlations, and design heuristics used to analyze fluid motion around marine vehicles and structures. It bridges theoretical fluid mechanics with naval architecture and ocean engineering practice, emphasizing incompressible, viscous, and free-surface flows. The guide supports rapid problem-solving, preliminary design, and interpretation of computational or experimental hydrodynamic data.

📖 Overview

Marine hydrodynamics focuses on the behavior of water (and occasionally other marine fluids) interacting with submerged or surface-piercing bodies—such as ships, submarines, offshore platforms, propellers, and mooring systems. Its foundation lies in the Navier–Stokes equations, adapted for incompressible flow, turbulence modeling (e.g., RANS, LES), and free-surface dynamics governed by the kinematic and dynamic boundary conditions at the air–water interface. Key phenomena include resistance (frictional, pressure, wave-making), lift and cavitation on hydrofoils and propellers, maneuvering forces (added mass, damping), seakeeping (heave, pitch, roll responses to waves), and vortex-induced vibrations (VIV) in current-dominated environments. Practical implementation relies heavily on dimensional analysis (e.g., Froude, Reynolds, and Cavitation numbers), model-scale testing (towing tanks, cavitation tunnels), and high-fidelity CFD simulations validated against experimental benchmarks. The guide synthesizes these elements into accessible rules-of-thumb, scaling laws, coefficient correlations (e.g., ITTC 1957 skin friction line), and diagnostic criteria for common failure modes like broaching, parametric rolling, or propeller erosion.

📑 Key Components

1 Governing Equations (Navier-Stokes, Continuity, Free-Surface BCs)
2 Dimensionless Numbers (Froude, Reynolds, Cavitation, Strouhal)
3 Hydrodynamic Coefficients (CD, CL, CM, KT, KQ, Seakeeping RAOs)

🎯 Applications

  • Ship resistance and powering prediction
  • Propeller design and cavitation analysis
  • Offshore platform motion response in waves

📐 Key Formulas

Froude Number

Fr = V / √(g·L)

Dimensionless speed parameter relating inertial to gravitational forces; critical for similitude in free-surface flow and wave-making resistance

Reynolds Number

Re = ρVL / μ

Ratio of inertial to viscous forces; determines flow regime (laminar/turbulent) and governs frictional resistance scaling

Cavitation Number

σ = (p∞ − pv) / (½ρV²)

Predicts onset of cavitation on propellers or hydrofoils; low σ indicates high risk of vapor bubble formation and collapse

🔗 Related Concepts

Computational Fluid Dynamics (CFD) Model Testing and Similitude Seakeeping and Motions Analysis

📚 References

#naval-architecture #fluid-mechanics #offshore-engineering